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Finding the Fourth Proportional to 181.16, 249.78 and 157.76

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Solution

The fourth proportional to 181.16, 249.78 and 157.76 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 249.78 = 157.76 : x
  2. Step 2: Convert to fraction form
    181.16/249.78 = 157.76/x
  3. Step 3: Cross multiply
    181.16x = 249.78 × 157.76
  4. Step 4: Simplify right side
    181.16x = 39,405.29
  5. Step 5: Solve for x
    x = 39,405.29/181.16
  6. Step 6: Final answer
    x = 217.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.